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The axisymmetric flow of a thin liquid film is considered for the problem of a vertically rotating disk that is partially immersed in a liquid bath. A model for the fully three-dimensional free-boundary problem of the rotating disk, that…

Fluid Dynamics · Physics 2007-06-13 K. Afanasiev , A. Münch , B. Wagner

The aim of this study is to derive accurate models for quantities characterizing the dynamics of droplets of non-vanishing viscosity in capillaries. In particular, we propose models for the uniform-film thickness separating the droplet from…

Fluid Dynamics · Physics 2018-07-03 Gioele Balestra , Lailai Zhu , François Gallaire

The motion of a long gas bubble in a confined capillary tube is ubiquitous in a wide range of engineering and biological applications. While the understanding of the deposited thin viscous film near the tube wall in Newtonian fluids is well…

Fluid Dynamics · Physics 2022-12-21 SungGyu Chun , Bingqiang Ji , Zhengyu Yang , Vinit Kumar Malik , Jie Feng

We investigate the linear instability of flows that are stable according to Rayleigh's criterion for rotating fluids. Using Taylor-Couette flow as a primary test case, we develop large Reynolds number matched asymptotic expansion theories.…

Fluid Dynamics · Physics 2025-03-12 Kengo Deguchi , Ming Dong

Jammed granular media and glasses exhibit spatial long-range correlations as a result of mechanical equilibrium. However, the existence of such correlations in the flowing matter, where the mechanical equilibrium is unattainable, has…

Soft Condensed Matter · Physics 2023-08-01 Hor Dashti , Abbas Ali Saberi , S. H. E. Rahbari , Jürgen Kurths

We study the necking dynamics of a filament of complex fluid or soft solid in uniaxial tensile stretching at constant imposed Hencky strain rate $\dot\varepsilon$, by means of linear stability analysis and nonlinear (slender filament)…

Soft Condensed Matter · Physics 2016-11-22 David M. Hoyle , Suzanne M. Fielding

This study examines the stability of a flexible material interface between two fluids of the same viscosity in interaction with a free surface. When the layers are motionless, we provide evidence for the onset of a novel instability by…

Fluid Dynamics · Physics 2024-11-05 Joris Labarbe

In this fluid dynamics video, Ray-tracing data visualization technique was used to obtain realistic and detailed flow motions during impinging of two liquid jets. Different patterns of sheet and rim configurations were presented to shed…

Fluid Dynamics · Physics 2012-10-16 Xiaodong Chen , Vigor Yang

The velocity fluctuations in a spherical shell arising from sinusoidal perturbations of a Keplerian shear flow with a free amplitude parameter \epsilon are studied numerically by means of fully 3D nonlinear simulations. The investigations…

Astrophysics · Physics 2009-11-06 G. Rudiger , A. Drecker

Boundary conditions at a liquid-solid interface are crucial to dynamics of a liquid film coated on a fibre. Here a theoretical framework based on axisymmetric Stokes equations is developed to explore the influence of liquid-solid slip on…

Fluid Dynamics · Physics 2023-01-25 Chengxi Zhao , Yixin Zhang , Ting Si

We present a theoretical description of the fluid--structure interaction observed within a Starling resistor. The typical setup consists of a pre-stretched finite length thin-walled elastic tube mounted between two rigid tubes. The…

Fluid Dynamics · Physics 2025-10-28 Daniel J. Netherwood , Robert J. Whittaker

Linear stability of solid body rotating flows with axisymmetric density variations is addressed analytically. Considering inviscid disturbances, a non trivial dispersion relation is obtained and it is shown that the instability is of…

Fluid Dynamics · Physics 2023-08-24 C. Jacques , B. Di Pierro , F. Alizard , M. Buffat , A. Cadiou , L. Le Penven

In order to understand the flow profiles of complex fluids, a crucial issue concerns the emergence of spatial correlations among plastic rearrangements exhibiting cooperativity flow behaviour at the macroscopic level. In this paper, the…

Fluid Dynamics · Physics 2014-07-01 B. Dollet , A. Scagliarini , M. Sbragaglia

The dynamics of thin volatile droplets comprising of binary mixtures deposited on a heated substrate are investigated. Using lubrication theory, we develop a novel one-sided model to predict the spreading and retraction of an evaporating…

Fluid Dynamics · Physics 2020-09-23 A. G. L. Williams. G. Karapetsas , D. Mamalis , K. Sefiane , O. K. Matar , P. Valluri

The fragmentation of small, brittle, flexible, inextensible fibers is investigated in a fully-developed, homogeneous, isotropic turbulent flow. Such small fibers spend most of their time fully stretched and their dynamics follows that of…

Soft Condensed Matter · Physics 2019-12-17 Sofía Allende , Christophe Henry , Jérémie Bec

Direct numerical simulations (DNS) of rotating pipe flows up to $Re_{\tau} \approx 3000$ are carried out to investigate drag reduction effects associated with axial rotation, extending previous studies carried out at a modest Reynolds…

Fluid Dynamics · Physics 2024-07-29 Maochao Xiao , Alessandro Ceci , Paolo Orlandi , Sergio Pirozzoli

To investigate the influence of inertia and slip on the instability of a liquid film on a fibre, a theoretical framework based on the axisymmetric Navier-Stokes equations is proposed via linear instability analysis. The model reveals that…

Fluid Dynamics · Physics 2024-02-02 Chengxi Zhao , Ran Qiao , Kai Mu , Ting Si , Xisheng Luo

We analyse the flow curves of a two-dimensional assembly of granular particles which are interacting via frictional contact forces. For packing fractions slightly below jamming, the fluid undergoes a large scale instability, implying a…

Soft Condensed Matter · Physics 2020-01-22 Shibu Saw , Mathias Grob , Annette Zippelius , Claus Heussinger

We study the stability and breakup behavior of an axisymmetric liquid thread which is surrounded by another viscous fluid layer through a long wave approximation. The two fluids are immiscible and confined in a concentrically placed…

Fluid Dynamics · Physics 2020-07-08 Qiming Wang

We study the secondary time-averaged flow (streaming) generated by an oscillating cylinder immersed within a fluid, under high amplitude forcing so that inertial effects are significant. This streaming is decomposed into a viscous boundary…